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OPTIMAL CONTROL PROBLEMS FOR GENERAL GLOBAL HYBRID DYNAMICAL SYSTEMS WITH MATRIX COST FUNCTIONAL
Published online by Cambridge University Press: 04 October 2010
Abstract
This paper considers an optimal control problem for a class of controlled hybrid dynamical systems (HDSs) with prescribed switchings. By using Ekeland’s variational principle and a matrix cost functional, a minimum principle for HDSs is derived, which provides a necessary condition of the aforementioned problem. The results given in this paper include both pure continuous systems and pure discrete-time systems as special cases.
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- Copyright © Australian Mathematical Society 2010